Abstract:The existence of soliton-like electromagnetic (EM) distributions in a fully degenerate electronpositron plasma is studied applying relativistic hydrodynamic and Maxwell equations. For circularly polarized wave it is found that the soliton solutions exist both in relativistic as well as nonrelativistic degenerate plasmas. Plasma density in the region of soliton pulse localization is reduced considerably. The possibility of plasma cavitation is also shown.
“…to the degenerate electrons. The electron dynamics for both components will be described by the appropriate relativistic fluid equations [ (Pino et al 2010), (Berezhiani et al 2015a), (Berezhiani et al 2015b)]: the continuity…”
Section: Model Equationsmentioning
confidence: 99%
“…Consequently, the degeneracy pressure may easily dominate the thermal one [see e.g. (Shapiro & Teukolsky 1973), (Michel 1982;Berezhiani et al 2015a), (Berezhiani et al 2015b;Shatashvili et al 2016) and references therein]. Relativistic outflows/jets, often, come out of these compact objects.…”
It is shown that a small contamination of a relativistically hot electron component can induce a new scale (for structure formation) to a system consisting of an ion-degenerate electron plasma. Mathematically expression of this additional scale length is the increase in the index of quasi-equilibrium Beltrami-Bernoulli states that have been invoked to model several astrophysical systems of interest. The two species of electrons, due to different origin of their relativistic effective masses, behave as two distinct components (each with its own conserved helicity) and add to the richness of the accessible quasi equilibrium states. Determined by the concrete parameters of the system, the new macro-scale lengths (much larger than the short intrinsic scale lengths (skin depths) and generally much shorter than the system size) open new pathways for energy transformations.
“…to the degenerate electrons. The electron dynamics for both components will be described by the appropriate relativistic fluid equations [ (Pino et al 2010), (Berezhiani et al 2015a), (Berezhiani et al 2015b)]: the continuity…”
Section: Model Equationsmentioning
confidence: 99%
“…Consequently, the degeneracy pressure may easily dominate the thermal one [see e.g. (Shapiro & Teukolsky 1973), (Michel 1982;Berezhiani et al 2015a), (Berezhiani et al 2015b;Shatashvili et al 2016) and references therein]. Relativistic outflows/jets, often, come out of these compact objects.…”
It is shown that a small contamination of a relativistically hot electron component can induce a new scale (for structure formation) to a system consisting of an ion-degenerate electron plasma. Mathematically expression of this additional scale length is the increase in the index of quasi-equilibrium Beltrami-Bernoulli states that have been invoked to model several astrophysical systems of interest. The two species of electrons, due to different origin of their relativistic effective masses, behave as two distinct components (each with its own conserved helicity) and add to the richness of the accessible quasi equilibrium states. Determined by the concrete parameters of the system, the new macro-scale lengths (much larger than the short intrinsic scale lengths (skin depths) and generally much shorter than the system size) open new pathways for energy transformations.
“…Applying this relation, and after straightforward algebra (see e.g. [31][32][33]), the equation of motion for degenerate electron fluid reduces to:…”
A new class of Double Beltrami-Bernoulli equilibria, sustained by electron degeneracy pressure, are investigated. It is shown that due to electron degeneracy, a nontrivial Beltrami-Bernoulli equilibrium state is possible even for a zero temperature plasma. These states are, conceptually, studied to show the existence of new energy transformation pathways converting, for instance, the degeneracy energy into fluid kinetic energy. Such states may be of relevance to compact astrophysical objects like white dwarfs, neutron stars etc.
“…In a series of papers [5]- [8], where authors examined the nonlinear character of interactions of plasma waves and high frequency EM waves it was found that ✩ Fully documented templates are available in the elsarticle package on CTAN.…”
The filamentation instability of the electromagnetic (EM) beam in an underdense plasma with high level of degeneracy is examined by means of the momentum equation, continuity equation and Maxwell's equations. It has been demonstrated that the instability develops for weakly as well as strongly relativistic degenerate plasma and arbitrary strong amplitude of EM beams.
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